The diagram shows a cube of side length 3 inches. The points P, Q, and Rhave the relative locations shown. Pis one of the vertices on the bottom of the cube, Q is located on an edge and is 1 inch from the top of the cube, and R is located
on an edge and is 1 inch from the bottom of the cube.
1 in
Q
P
R
1 in
3 in
If a plane including the points P, Q, and R cuts through the cube, what is the shape of the resulting cross section?

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Read the equations in the table below. then drag a description of the situation and a table to represent each equation. indicate whether each of the relationships is proportional or non-proportional.

If two angles of a triangle have equal measures and the third angle measures 90°, what are the angle measures of the triangle? a. 60°, 60°, 60° b. 45°, 90°, 90° c. 30°, 30°, 90° d. 45°, 45°, 90°